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Vladimir79 [104]
3 years ago
15

Differentiate Square numbers and cube numbers

Mathematics
1 answer:
pashok25 [27]3 years ago
6 0

Answer:

square numbers are numbers raised up to the power of two in essence the number multiplied by it self

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you secure a mortgage to buy a house with a loan of $140,000 at 8.5% for 20 years. answer the following questions about that loa
Yuri [45]

Answer:

  • monthly payment $1214.95
  • 1st month's interest $991.67
  • balance after 1st payment $139,776.72
  • 2nd month's interest $990.09
  • balance after 2nd payment $139,551.86

Step-by-step explanation:

The monthly interest rate is ...

  \dfrac{8\%}{12}=0.00708\overline{3}

a) The monthly payment is given by the amortization formula:

  A = Pr/(1 -(1+r)^-n)

where r is the monthly interest rate on a loan of amount P for n months.

  A = $140,000(0.0070833)/(1 -(1.0070833^-240)) = $1214.95

The monthly payment is $1214.95.

__

b) The amount to interest is the product of the remaining principal and the monthly interest rate.

 first month's interest = $140,000·0.0070833 = $991.67

__

c) The balance after the first payment is ...

  new balance = $140,000 +991.67 -1214.95 = $139,776.72

__

d) The amount to interest for the second payment is computed the same way:

  second month's interest = $139,776.72·0.00708333 = $990.09

__

e) The balance after the second payment is computed the same way:

  new balance = $139,776.72 +990.09 -1214.95 = $139,551.86

8 0
3 years ago
By what percent will the product of two numbers decrease if one of them is decreased by 25% and the other one is decreased by 50
olchik [2.2K]
Well, let's say the numbers are "a" and "b"

so a * b = ab

ok... now, if we reduce "a" by 25%, that means the new size is just 75% of the old one, how much is 75% of a? well, (75/100) * a, or 0.75a

now let's reduce "b" by 50%, that means the new size is 50% or half,  how much is 50% of b? well (50/100)*b, or 0.5b

\bf \begin{cases}
a\cdot b\implies  ab\\
0.75a\cdot 0.5b\\
\qquad 0.75\cdot 0.5ab\\
\qquad 0.375ab
\end{cases}

now, the new size of "ab" is just 0.375ab... well, let's revert the decimal format by simply multiplying by 100

0.375 * 100, is 37.5%

the new size of "ab" is just 37.5% of the original "ab"

it decreased by 100 - 37.5 or 62.5%
5 0
3 years ago
At 2:00 PM a car's speedometer reads 30 mi/h. At 2:20 PM it reads 50 mi/h. Show that at some time between 2:00 and 2:20 the acce
storchak [24]

Answer:

The correct answer will be "60 min/hour".

Step-by-step explanation:

At time 2:00 PM

A car reads = 30 mi/h

At time 2:20 PM

A car reads = 50 mi/h

Now,

At time 2:00 PM

t = 0

At time 2:20 PM

t = \frac{1}{3}

v(0)=30

v(\frac{1}{3})=50

For MVT,

v'(c)=\frac{v(\frac{1}{3} -v(0))}{(\frac{1}{3} )}

       =\frac{20}{\frac{1}{3} }

       =60 \ min/hour

5 0
3 years ago
If fx) is a linear function, which statement must be true?
Hitman42 [59]

Answer:

B. f(x) has no x2-term.

9 0
3 years ago
877.71 rounded to the nearest tenth
Ierofanga [76]
877.7 is the correct answer!
3 0
3 years ago
Read 2 more answers
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